he term $$accidentally Turing complete$$ is occasionally used to describe

software whose features, while not designed for the construction of Turing machines,

nevertheless enable a user to embed a Turing machine within that software. An ex$-$

ample of such software is the C$++$ programming language. In C$++,$ it is possible to

construct new data types using parameters specified at compile time. Furthermore,

C$++$ supports defining such types recursively, and with a specialization feature that

enables conditional type construction. This combination of features has been proven

to show that C$++,$ as defined by its language specification, can be used to construct

and evaluate arbitrary Turing Machines while it is being compiled.

Using what you know about decidability and the capabilities of Turing machines, what

implications do you think this can have on the development of C$++$ compilers?